Superquantile function of order n and their applications in reliability and entropy

N. Unnikrishnan Nair, S.M. Sunoj and Silpa Subhash

Statistics & Probability Letters, 2025, vol. 225, issue C

Abstract: The superquantile function enjoys many more desirable properties than the conventional quantile function and as such may be considered as an alternative to the distribution function in probability calculus. It is expressed in terms of the mean life function and is used iteratively to construct a hierarchy of quantile functions. The sequence of the quantile function so obtained is used to develop the characterization results. The implications of the superquantile function in the context of explaining the vitality of an organism or unit are exploited to find the application to reliability analysis. Some applications to analysing cumulative residual entropy are also discussed.

Keywords: Superquantile function; Reliability analysis; Cumulative entropy; Ageing; Stochastic orders (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110457

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